Given numbers are 381,546,306,924

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 381,546,306,924 is 77801724.

Find LCM of 381,546,306,924 with Prime Factorization

Multiply the prime numbers at the bottom and the left side.

2 x 3 x 7 x 127 x 13 x 51 x 22 = 77801724

Therefore, the lowest common multiple of 381,546,306,924 is 77801724.

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

381 x 546 x 306 x 924 = 58818103344

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

381 : 1, 3, 127, 381

546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 381,546,306,924, is 3.

Now, the common factors can be found like this.

381:3x 127

546:2x 3x 7x 13

306:2x 3x 3x 17

924:2x 2x 3x 7x 11

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2x 3x 3x 7 = 252

Therefore, the value for common factors is 252.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 58818103344/(3x252)

LCM = 58818103344/756

LCM = 77801724

Thus, we can understand that the LCM of 381,546,306,924 is 77801724.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 112, 632, 307, 240
• LCM of 191, 481, 657, 549
• LCM of 822, 849, 867, 990
• LCM of 261, 485, 738, 332
• LCM of 194, 375, 495, 337

1. What is the LCM of 381, 546, 306, 924?

Answer: LCM of 381, 546, 306, 924 is 77801724.

2. How to calculate the LCM of 381, 546, 306, 924?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 381, 546, 306, 924.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.